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Finding the Third Proportional to 126,982 and 276,540

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Solution

The third proportional to 126,982 and 276,540 is: 602,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,982 : 276,540 = 276,540 : x
  2. Step 2: Convert to fraction form
    126,982/276,540 = 276,540/x
  3. Step 3: Cross multiply
    126,982x = 276,540 × 276,540
  4. Step 4: Simplify right side
    126,982x = 76,474,371,600
  5. Step 5: Solve for x
    x = 76,474,371,600/126,982
  6. Step 6: Final answer
    x = 602,245.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.